Comparing the three solutions, we observe that only Solution II\(^+\)  features an interval of finite proper length.
As we will discuss in the next section, this behavior matches precisely with the presence of a 7-brane solution curing the logarithmic singularity and capping off the \(y\) -direction.
Such an ETW-brane configuration can be actually predicted by the requirement of a vanishing cobordism group proposed in [1]}, as we are going to argue below.
